801054720 has 336 divisors, whose sum is σ = 2898218232. Its totient is φ = 204472320.

The previous prime is 801054713. The next prime is 801054743. The reversal of 801054720 is 27450108.

It can be written as a sum of positive squares in 4 ways, for example, as 522031104 + 279023616 = 22848^2 + 16704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15114214 + ... + 15114266.

Almost surely, 2^801054720 is an apocalyptic number.

801054720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449109116).

801054720 is an abundant number, since it is smaller than the sum of its proper divisors (2097163512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

801054720 is a wasteful number, since it uses less digits than its factorization.

801054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 801054720 is about 28302.9100977267. The cubic root of 801054720 is about 928.7255522814.

The spelling of 801054720 in words is "eight hundred one million, fifty-four thousand, seven hundred twenty".